SOLUTION: Forty-five percent of the adults in a particular large city are women. A court is to randomly select a jury of 12 adults from the population of all adults of the city
(a)
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Question 618336: Forty-five percent of the adults in a particular large city are women. A court is to randomly select a jury of 12 adults from the population of all adults of the city
(a) Find the probability that none of the 12 jurors are a women
(b) Find the probability that at most 4 of the 12 jurors are women
A mail order company receives all average of 40 orders per day.
(i) Find the probability that it will received exactly 55 orders on a certain day.
(ii) Find the probability that it will receive at most 29 orders on a certain day.
Assume that the distribution of time spent on leisure activities by certain employed adults living in household with no children younger than 18 is normally distributed with mean of 4.4 hours per day and the standard deviation of 1.08 hour per day.
Find the probability that the amount of time spent on leisure activities per day for a randomly selected person from the population of interest is
(a) More than 7.2 hours per day
(b) 4.2 to 6.5 hours per day
(c) Less than 6 hours per day
(d) More than 24 hours per day
(e) How much time must be spent on leisure activity by an employed adult living in household with no children younger than 18 years to be in the group of such adults who spend the highest 3.5% of the time in a day in such activities
Create 150 samples, each containing the result of 35 numbers from 1 through 100. Calculate the means of these 100 samples. Construct the Histogram and calculate the mean and standard deviation of these sample means.
A particular industrial product has shipped in lots of 20. Testing to determine whether an item is defective is costly; hence the manufacture samples production rather than using 100% inspection plan. A sampling plan constructed to minimize the number of defectives shipped to customers call for sampling fine items form each lot and reject the lot if more than one defect is observed.
(a) What is the probability that the lot will be rejected
(b) What is the probability that the lost will not be rejected
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
"Forty-five percent of the adults in a particular large city are women. A court is to randomly select a jury of 12 adults from the population of all adults of the city
(a) Find the probability that none of the 12 jurors are a women" [sic]
You need the binomial distribution with 12 trials, 0 successes, and 0.45 probability of success on an individual trial.
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ {{n}\choose{k}}\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k})
Where 
is the number of combinations of things taken at a time and is calculated by !})
You need to calculate:
\ =\ {{12}\choose{0}}\left(0.45\right)^0\left(0.55\right)^{12})
Hint: 
and 
John
My calculator said it, I believe it, that settles it
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